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Finding the Fourth Proportional to 784.58, 1,082.84 and 564.26

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Solution

The fourth proportional to 784.58, 1,082.84 and 564.26 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.58 : 1,082.84 = 564.26 : x
  2. Step 2: Convert to fraction form
    784.58/1,082.84 = 564.26/x
  3. Step 3: Cross multiply
    784.58x = 1,082.84 × 564.26
  4. Step 4: Simplify right side
    784.58x = 610,995.06
  5. Step 5: Solve for x
    x = 610,995.06/784.58
  6. Step 6: Final answer
    x = 778.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.